Question

Write the measures of the supplements of the angles given below: 

i. 108° 

ii. 0° 

iii. a°

Answer 1

i. Let the measure of the supplementary angle be x°. 

∴ 108 + x = 180 

∴ 108 + x – 108 = 180 – 108 ….(Subtracting 108 from both sides) 

∴ x = 72

∴ The measures of the supplement of an angle of 108° is 72°. 

ii. Let the measure of the supplementary angle be x°. 

∴0 + x = 180 

∴ x = 180 

∴ The measures of the supplement of an angle of 0° is 180°. 

iii. Let the measure of the supplementary angle be x°. 

∴ a + x = 180 

∴ a + x – a = 180 – a ….(Subtracting a from both sides) 

x = (180 – a) 

∴ The measures of the supplement of an angle of a° is (180 – a)°.